| eBook ISBN: | 978-1-4704-5505-7 |
| Product Code: | MEMO/262/1266.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
| eBook ISBN: | 978-1-4704-5505-7 |
| Product Code: | MEMO/262/1266.E |
| List Price: | $81.00 |
| MAA Member Price: | $72.90 |
| AMS Member Price: | $48.60 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 262; 2019; 111 pp
Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
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Table of Contents
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Chapters
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1. Introduction
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2. Some abstract 2-algebra
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3. More 2-algebra: Bending and smoothing
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4. Some homological algebra of 2-modules
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5. The algebras and algebra-modules
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6. The cornering module–2-modules
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7. The trimodules $\mathsf {T}_{DDD}$ and $\mathsf {T}_{DDA}$
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8. Cornered 2-modules for cornered Heegaard diagrams
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9. Gradings
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10. Practical computations
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11. The nilCoxeter planar algebra
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Additional Material
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Bordered Floer homology assigns invariants to 3-manifolds with boundary, such that the Heegaard Floer homology of a closed 3-manifold, split into two pieces, can be recovered as a tensor product of the bordered invariants of the pieces. The authors construct cornered Floer homology invariants of 3-manifolds with codimension-2 corners and prove that the bordered Floer homology of a 3-manifold with boundary, split into two pieces with corners, can be recovered as a tensor product of the cornered invariants of the pieces.
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Chapters
-
1. Introduction
-
2. Some abstract 2-algebra
-
3. More 2-algebra: Bending and smoothing
-
4. Some homological algebra of 2-modules
-
5. The algebras and algebra-modules
-
6. The cornering module–2-modules
-
7. The trimodules $\mathsf {T}_{DDD}$ and $\mathsf {T}_{DDA}$
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8. Cornered 2-modules for cornered Heegaard diagrams
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9. Gradings
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10. Practical computations
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11. The nilCoxeter planar algebra
